Finding the Third Proportional to 160,382 and 224,222

Step by Step Solution

1. Step 1: Write the proportion equation
   160,382 : 224,222 = 224,222 : x
2. Step 2: Convert to fraction form
   160,382/224,222 = 224,222/x
3. Step 3: Cross multiply
   160,382x = 224,222 × 224,222
4. Step 4: Simplify right side
   160,382x = 50,275,505,284
5. Step 5: Solve for x
   x = 50,275,505,284/160,382
6. Step 6: Final answer
   x = 313,473.49